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Topic: Is (t^2-9)/(t-3) defined at t=3?
Replies: 166   Last Post: Oct 30, 2013 9:41 AM

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Ronald Benedik

Posts: 1
Registered: 10/10/13
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Oct 10, 2013 10:25 AM
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"Hetware" schrieb im Newsbeitrag
news:h-idnRl8i4LRmdrPnZ2dnUVZ_hudnZ2d@megapath.net...

>I'm reading a 1953 edition of Thomas's Calculus and Analytic Geometry. In it he
>states that given:
>F(t) = (t^2-9)/(t-3)


>F(t) = (t-3)(t+3)/(t-3) = t+3 when t!=3.

>But F(t) is not defined at t=3 because it evaluates to 0/0

>If someone were to ask me if (t^2-9)/(t-3) is defined when t=3, I would say it
>is because it can be simplified to t+3. Am I (and/or Thomas) engaging in
>meaningless hair-splitting regarding the question of F(3) being defined?


F(3) is not defined (0/0) but F(t) can be made continuous at 3 by reducing
the fraction.



Date Subject Author
9/28/13
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Hetware
9/28/13
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Michael F. Stemper
9/28/13
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Hetware
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quasi
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Hetware
9/28/13
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quasi
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Peter Percival
9/29/13
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quasi
9/28/13
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Hetware
9/28/13
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Richard Tobin
9/28/13
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Hetware
9/28/13
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tommyrjensen@gmail.com
9/29/13
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Hetware
10/6/13
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Hetware
10/6/13
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Peter Percival
10/6/13
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Hetware
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quasi
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Peter Percival
9/29/13
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Michael F. Stemper
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Hetware
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Hetware
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magidin@math.berkeley.edu
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Hetware
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magidin@math.berkeley.edu
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Hetware
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LudovicoVan
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10/12/13
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Hetware
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fom
10/13/13
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Richard Tobin
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Hetware
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fom
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fom
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fom
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9/30/13
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Virgil
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10/13/13
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10/14/13
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10/13/13
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10/14/13
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10/16/13
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10/16/13
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10/19/13
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10/19/13
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10/19/13
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Hetware
10/20/13
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Hetware
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Peter Percival
10/20/13
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10/20/13
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10/30/13
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10/19/13
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Hetware
10/10/13
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Ronald Benedik
10/10/13
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Peter Percival
10/10/13
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Virgil
10/18/13
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Hetware
10/19/13
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Peter Percival
10/19/13
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fom
10/19/13
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Peter Percival
10/19/13
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Hetware
10/19/13
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Peter Percival
10/19/13
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Hetware
10/19/13
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fom
10/19/13
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magidin@math.berkeley.edu
10/19/13
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Hetware
10/19/13
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10/20/13
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Hetware
10/20/13
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10/20/13
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10/20/13
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magidin@math.berkeley.edu
10/20/13
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Hetware
10/20/13
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10/20/13
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10/19/13
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